An analytical method for solving the two-phase inverse Stefan problem

被引：6
|
作者：
Hetmaniok, E. [1 ]
Slota, D. [1 ]
Witula, R. [1 ]
Zielonka, A. [1 ]
机构：
[1] Silesian Tech Univ, Inst Math, PL-44100 Gliwice, Poland
来源：
BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES | 2015年 / 63卷 / 03期
关键词：
inverse Stefan problem; homotopy analysis method; heat transfer; solidification; HOMOTOPY ANALYSIS METHOD; DIFFERENTIAL-EQUATIONS; FUNDAMENTAL-SOLUTIONS; NONLINEAR PROBLEMS; SOLIDIFICATION; DESIGN; FLOW;
D O I：
10.1515/bpasts-2015-0068
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In the paper we present an application of the homotopy analysis method for solving the two-phase inverse Stefan problem. In the proposed approach a series is created, having elements which satisfy some differential equation following from the investigated problem. We reveal, in the paper, that if this series is convergent then its sum determines the solution of the original equation. A sufficient condition for this convergence is formulated. Moreover, the estimation of the error of the approximate solution, obtained by taking the partial sum of the considered series, is given. Additionally, we present an example illustrating an application of the described method.
引用
收藏
页码：583 / 590
页数：8
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